%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KLE105+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:40:20 AM UTC 2026
% Result : Theorem 41.22s 7.00s
% Output : Refutation 42.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 45
% Number of leaves : 23
% Syntax : Number of formulae : 231 ( 227 unt; 0 def)
% Number of atoms : 235 ( 234 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 13 ( 9 ~; 0 |; 2 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 15 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 5 con; 0-2 aty)
% Number of variables : 336 ( 333 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_commutativity) ).
fof(f2,axiom,
! [X0,X1,X2] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_associativity) ).
fof(f3,axiom,
! [X0] : addition(X0,zero) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_identity) ).
fof(f4,axiom,
! [X0] : addition(X0,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_idempotence) ).
fof(f5,axiom,
! [X0,X1,X2] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_associativity) ).
fof(f6,axiom,
! [X0] : multiplication(X0,one) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_right_identity) ).
fof(f7,axiom,
! [X0] : multiplication(one,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_left_identity) ).
fof(f8,axiom,
! [X0,X1,X2] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_distributivity) ).
fof(f9,axiom,
! [X0,X1,X2] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_distributivity) ).
fof(f11,axiom,
! [X0] : multiplication(zero,X0) = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_annihilation) ).
fof(f13,axiom,
! [X0] : multiplication(antidomain(X0),X0) = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain1) ).
fof(f14,axiom,
! [X0,X1] : addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))) = antidomain(multiplication(X0,antidomain(antidomain(X1)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain2) ).
fof(f15,axiom,
! [X0] : addition(antidomain(antidomain(X0)),antidomain(X0)) = one,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain3) ).
fof(f16,axiom,
! [X0] : domain(X0) = antidomain(antidomain(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain4) ).
fof(f17,axiom,
! [X0] : multiplication(X0,coantidomain(X0)) = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',codomain1) ).
fof(f18,axiom,
! [X0,X1] : addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))) = coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',codomain2) ).
fof(f19,axiom,
! [X0] : addition(coantidomain(coantidomain(X0)),coantidomain(X0)) = one,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',codomain3) ).
fof(f20,axiom,
! [X0] : codomain(X0) = coantidomain(coantidomain(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',codomain4) ).
fof(f21,axiom,
! [X0] : c(X0) = antidomain(domain(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement) ).
fof(f23,axiom,
! [X0,X1] : forward_diamond(X0,X1) = domain(multiplication(X0,domain(X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',forward_diamond) ).
fof(f24,axiom,
! [X0,X1] : backward_diamond(X0,X1) = codomain(multiplication(codomain(X1),X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',backward_diamond) ).
fof(f26,axiom,
! [X0,X1] : backward_box(X0,X1) = c(backward_diamond(X0,c(X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',backward_box) ).
fof(f27,conjecture,
! [X0,X1,X2] :
( addition(forward_diamond(X0,domain(X1)),domain(X2)) = domain(X2)
=> addition(domain(X1),backward_box(X0,domain(X2))) = backward_box(X0,domain(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f28,negated_conjecture,
~ ! [X0,X1,X2] :
( addition(forward_diamond(X0,domain(X1)),domain(X2)) = domain(X2)
=> addition(domain(X1),backward_box(X0,domain(X2))) = backward_box(X0,domain(X2)) ),
inference(negated_conjecture,[status(cth)],[f27]) ).
fof(f29,plain,
? [X0,X1,X2] :
( backward_box(X0,domain(X2)) != addition(domain(X1),backward_box(X0,domain(X2)))
& addition(forward_diamond(X0,domain(X1)),domain(X2)) = domain(X2) ),
inference(ennf_transformation,[],[f28]) ).
fof(f30,plain,
( backward_box(sK0,domain(sK2)) != addition(domain(sK1),backward_box(sK0,domain(sK2)))
& domain(sK2) = addition(forward_diamond(sK0,domain(sK1)),domain(sK2)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f29]) ).
fof(f31,plain,
domain(sK2) = addition(forward_diamond(sK0,domain(sK1)),domain(sK2)),
inference(cnf_transformation,[],[f30]) ).
fof(f32,plain,
backward_box(sK0,domain(sK2)) != addition(domain(sK1),backward_box(sK0,domain(sK2))),
inference(cnf_transformation,[],[f30]) ).
fof(f33,plain,
! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
inference(cnf_transformation,[],[f9]) ).
fof(f34,plain,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
inference(cnf_transformation,[],[f8]) ).
fof(f35,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
fof(f36,plain,
! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(cnf_transformation,[],[f2]) ).
fof(f37,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f38,plain,
! [X0,X1] : forward_diamond(X0,X1) = domain(multiplication(X0,domain(X1))),
inference(cnf_transformation,[],[f23]) ).
fof(f40,plain,
! [X0] : c(X0) = antidomain(domain(X0)),
inference(cnf_transformation,[],[f21]) ).
fof(f41,plain,
! [X0] : antidomain(antidomain(X0)) = domain(X0),
inference(cnf_transformation,[],[f16]) ).
fof(f43,plain,
! [X0,X1] : backward_box(X0,X1) = c(backward_diamond(X0,c(X1))),
inference(cnf_transformation,[],[f26]) ).
fof(f44,plain,
! [X2,X0,X1] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
inference(cnf_transformation,[],[f5]) ).
fof(f45,plain,
! [X0] : one = addition(antidomain(antidomain(X0)),antidomain(X0)),
inference(cnf_transformation,[],[f15]) ).
fof(f46,plain,
! [X0,X1] : antidomain(multiplication(X0,antidomain(antidomain(X1)))) = addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))),
inference(cnf_transformation,[],[f14]) ).
fof(f47,plain,
! [X0] : zero = multiplication(antidomain(X0),X0),
inference(cnf_transformation,[],[f13]) ).
fof(f48,plain,
! [X0,X1] : backward_diamond(X0,X1) = codomain(multiplication(codomain(X1),X0)),
inference(cnf_transformation,[],[f24]) ).
fof(f49,plain,
! [X0] : one = addition(coantidomain(coantidomain(X0)),coantidomain(X0)),
inference(cnf_transformation,[],[f19]) ).
fof(f50,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f51,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f52,plain,
! [X0] : zero = multiplication(X0,coantidomain(X0)),
inference(cnf_transformation,[],[f17]) ).
fof(f53,plain,
! [X0] : zero = multiplication(zero,X0),
inference(cnf_transformation,[],[f11]) ).
fof(f55,plain,
! [X0] : addition(X0,zero) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f56,plain,
! [X0] : coantidomain(coantidomain(X0)) = codomain(X0),
inference(cnf_transformation,[],[f20]) ).
fof(f57,plain,
! [X0,X1] : coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)) = addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))),
inference(cnf_transformation,[],[f18]) ).
fof(f58,plain,
! [X0] : c(X0) = antidomain(antidomain(antidomain(X0))),
inference(definition_unfolding,[],[f40,f41]) ).
fof(f59,plain,
! [X0,X1] : backward_diamond(X0,X1) = coantidomain(coantidomain(multiplication(coantidomain(coantidomain(X1)),X0))),
inference(definition_unfolding,[],[f48,f56,f56]) ).
fof(f60,plain,
! [X0,X1] : backward_box(X0,X1) = antidomain(antidomain(antidomain(coantidomain(coantidomain(multiplication(coantidomain(coantidomain(antidomain(antidomain(antidomain(X1))))),X0)))))),
inference(definition_unfolding,[],[f43,f58,f59,f58]) ).
fof(f62,plain,
! [X0,X1] : forward_diamond(X0,X1) = antidomain(antidomain(multiplication(X0,antidomain(antidomain(X1))))),
inference(definition_unfolding,[],[f38,f41,f41]) ).
fof(f64,plain,
antidomain(antidomain(antidomain(coantidomain(coantidomain(multiplication(coantidomain(coantidomain(antidomain(antidomain(antidomain(antidomain(antidomain(sK2))))))),sK0)))))) != addition(antidomain(antidomain(sK1)),antidomain(antidomain(antidomain(coantidomain(coantidomain(multiplication(coantidomain(coantidomain(antidomain(antidomain(antidomain(antidomain(antidomain(sK2))))))),sK0))))))),
inference(definition_unfolding,[],[f32,f60,f41,f41,f60,f41]) ).
fof(f65,plain,
antidomain(antidomain(sK2)) = addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1))))))),antidomain(antidomain(sK2))),
inference(definition_unfolding,[],[f31,f41,f62,f41,f41]) ).
fof(f66,plain,
antidomain(antidomain(sK2)) = addition(antidomain(antidomain(sK2)),antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1)))))))),
inference(forward_demodulation,[],[f65,f37]) ).
fof(f70,plain,
! [X0] : one = addition(antidomain(X0),antidomain(antidomain(X0))),
inference(superposition,[],[f37,f45]) ).
fof(f74,plain,
! [X0] : one = addition(coantidomain(X0),coantidomain(coantidomain(X0))),
inference(superposition,[],[f37,f49]) ).
fof(f75,plain,
! [X0,X1] : multiplication(addition(one,X1),X0) = addition(X0,multiplication(X1,X0)),
inference(superposition,[],[f33,f50]) ).
fof(f76,plain,
! [X0,X1] : multiplication(addition(antidomain(X0),X1),X0) = addition(zero,multiplication(X1,X0)),
inference(superposition,[],[f33,f47]) ).
fof(f78,plain,
! [X0,X1] : multiplication(addition(X0,antidomain(X1)),X1) = addition(multiplication(X0,X1),zero),
inference(superposition,[],[f33,f47]) ).
fof(f83,plain,
! [X0,X1] : multiplication(X0,X1) = multiplication(addition(X0,antidomain(X1)),X1),
inference(forward_demodulation,[],[f78,f55]) ).
fof(f88,plain,
! [X0,X1] : multiplication(addition(X0,X1),coantidomain(X1)) = addition(multiplication(X0,coantidomain(X1)),zero),
inference(superposition,[],[f33,f52]) ).
fof(f89,plain,
! [X0,X1] : multiplication(addition(X0,X1),coantidomain(X0)) = addition(zero,multiplication(X1,coantidomain(X0))),
inference(superposition,[],[f33,f52]) ).
fof(f90,plain,
zero = coantidomain(one),
inference(superposition,[],[f50,f52]) ).
fof(f91,plain,
! [X0,X1] : multiplication(addition(X0,X1),coantidomain(X1)) = multiplication(X0,coantidomain(X1)),
inference(forward_demodulation,[],[f88,f55]) ).
fof(f93,plain,
one = addition(coantidomain(zero),zero),
inference(superposition,[],[f49,f90]) ).
fof(f94,plain,
one = coantidomain(zero),
inference(forward_demodulation,[],[f93,f55]) ).
fof(f100,plain,
! [X0,X1] : multiplication(X1,X0) = multiplication(addition(antidomain(X0),X1),X0),
inference(superposition,[],[f83,f37]) ).
fof(f101,plain,
! [X0] : multiplication(one,X0) = multiplication(antidomain(antidomain(X0)),X0),
inference(superposition,[],[f83,f45]) ).
fof(f106,plain,
! [X0] : multiplication(antidomain(antidomain(X0)),X0) = X0,
inference(forward_demodulation,[],[f101,f50]) ).
fof(f127,plain,
! [X0,X1] : addition(multiplication(X1,X0),X0) = multiplication(addition(X1,antidomain(antidomain(X0))),X0),
inference(superposition,[],[f33,f106]) ).
fof(f130,plain,
! [X0,X1] : addition(X0,multiplication(X1,X0)) = multiplication(addition(X1,antidomain(antidomain(X0))),X0),
inference(forward_demodulation,[],[f127,f37]) ).
fof(f131,plain,
! [X0,X1] : multiplication(addition(one,X1),X0) = multiplication(addition(X1,antidomain(antidomain(X0))),X0),
inference(forward_demodulation,[],[f130,f75]) ).
fof(f139,plain,
! [X0,X1] : multiplication(antidomain(X0),addition(X1,X0)) = addition(multiplication(antidomain(X0),X1),zero),
inference(superposition,[],[f34,f47]) ).
fof(f141,plain,
! [X0,X1] : addition(multiplication(X0,X1),zero) = multiplication(X0,addition(X1,coantidomain(X0))),
inference(superposition,[],[f34,f52]) ).
fof(f158,plain,
! [X0,X1] : multiplication(X0,X1) = multiplication(X0,addition(X1,coantidomain(X0))),
inference(forward_demodulation,[],[f141,f55]) ).
fof(f160,plain,
! [X0,X1] : multiplication(antidomain(X0),X1) = multiplication(antidomain(X0),addition(X1,X0)),
inference(forward_demodulation,[],[f139,f55]) ).
fof(f165,plain,
! [X0,X1] : multiplication(antidomain(X0),addition(X0,X1)) = multiplication(antidomain(X0),X1),
inference(superposition,[],[f160,f37]) ).
fof(f166,plain,
! [X2,X0,X1] : multiplication(antidomain(multiplication(X1,X2)),multiplication(X0,X2)) = multiplication(antidomain(multiplication(X1,X2)),multiplication(addition(X0,X1),X2)),
inference(superposition,[],[f160,f33]) ).
fof(f167,plain,
! [X2,X0,X1] : multiplication(antidomain(multiplication(X0,X2)),multiplication(X0,X1)) = multiplication(antidomain(multiplication(X0,X2)),multiplication(X0,addition(X1,X2))),
inference(superposition,[],[f160,f34]) ).
fof(f192,plain,
! [X0,X1] : multiplication(antidomain(multiplication(antidomain(X0),X1)),multiplication(antidomain(antidomain(X0)),X1)) = multiplication(antidomain(multiplication(antidomain(X0),X1)),multiplication(one,X1)),
inference(superposition,[],[f166,f45]) ).
fof(f193,plain,
! [X0,X1] : multiplication(antidomain(multiplication(coantidomain(X0),X1)),multiplication(coantidomain(coantidomain(X0)),X1)) = multiplication(antidomain(multiplication(coantidomain(X0),X1)),multiplication(one,X1)),
inference(superposition,[],[f166,f49]) ).
fof(f202,plain,
! [X0,X1] : multiplication(antidomain(multiplication(coantidomain(X0),X1)),multiplication(coantidomain(coantidomain(X0)),X1)) = multiplication(antidomain(multiplication(coantidomain(X0),X1)),X1),
inference(forward_demodulation,[],[f193,f50]) ).
fof(f203,plain,
! [X0,X1] : multiplication(antidomain(multiplication(antidomain(X0),X1)),multiplication(antidomain(antidomain(X0)),X1)) = multiplication(antidomain(multiplication(antidomain(X0),X1)),X1),
inference(forward_demodulation,[],[f192,f50]) ).
fof(f217,plain,
! [X0] : multiplication(X0,one) = multiplication(X0,coantidomain(coantidomain(X0))),
inference(superposition,[],[f158,f49]) ).
fof(f231,plain,
! [X0] : multiplication(X0,coantidomain(coantidomain(X0))) = X0,
inference(forward_demodulation,[],[f217,f51]) ).
fof(f240,plain,
! [X0,X1] : addition(X0,X1) = addition(X0,addition(X0,X1)),
inference(superposition,[],[f36,f35]) ).
fof(f243,plain,
! [X2,X3,X0,X1] : addition(multiplication(X0,X1),addition(multiplication(X0,X2),X3)) = addition(multiplication(X0,addition(X1,X2)),X3),
inference(superposition,[],[f36,f34]) ).
fof(f255,plain,
! [X2,X0,X1] : addition(X0,addition(X1,X2)) = addition(X2,addition(X0,X1)),
inference(superposition,[],[f37,f36]) ).
fof(f267,plain,
! [X0,X1] : multiplication(X0,addition(one,X1)) = addition(X0,multiplication(X0,X1)),
inference(superposition,[],[f34,f51]) ).
fof(f272,plain,
zero = antidomain(one),
inference(superposition,[],[f47,f51]) ).
fof(f289,plain,
one = addition(antidomain(zero),zero),
inference(superposition,[],[f45,f272]) ).
fof(f290,plain,
one = antidomain(zero),
inference(forward_demodulation,[],[f289,f55]) ).
fof(f317,plain,
! [X0] : addition(zero,X0) = X0,
inference(superposition,[],[f37,f55]) ).
fof(f348,plain,
! [X0,X1] : multiplication(antidomain(multiplication(X0,antidomain(X1))),multiplication(X0,antidomain(antidomain(X1)))) = multiplication(antidomain(multiplication(X0,antidomain(X1))),multiplication(X0,one)),
inference(superposition,[],[f167,f45]) ).
fof(f365,plain,
! [X0,X1] : multiplication(antidomain(multiplication(X0,antidomain(X1))),multiplication(X0,antidomain(antidomain(X1)))) = multiplication(antidomain(multiplication(X0,antidomain(X1))),X0),
inference(forward_demodulation,[],[f348,f51]) ).
fof(f397,plain,
! [X2,X3,X0,X1] : addition(multiplication(X0,addition(X3,X2)),multiplication(X1,X2)) = addition(multiplication(X0,X3),multiplication(addition(X0,X1),X2)),
inference(superposition,[],[f243,f33]) ).
fof(f500,plain,
! [X0] : one = addition(antidomain(antidomain(X0)),one),
inference(superposition,[],[f240,f45]) ).
fof(f502,plain,
! [X0] : one = addition(coantidomain(coantidomain(X0)),one),
inference(superposition,[],[f240,f49]) ).
fof(f507,plain,
! [X0,X1] : multiplication(antidomain(addition(X0,X1)),X0) = multiplication(antidomain(addition(X0,X1)),addition(X0,X1)),
inference(superposition,[],[f160,f240]) ).
fof(f517,plain,
! [X0,X1] : zero = multiplication(antidomain(addition(X0,X1)),X0),
inference(forward_demodulation,[],[f507,f47]) ).
fof(f521,plain,
! [X0] : one = addition(one,coantidomain(coantidomain(X0))),
inference(forward_demodulation,[],[f502,f37]) ).
fof(f522,plain,
! [X0] : one = addition(one,antidomain(antidomain(X0))),
inference(forward_demodulation,[],[f500,f37]) ).
fof(f623,plain,
! [X0] : multiplication(one,antidomain(X0)) = addition(zero,multiplication(antidomain(X0),antidomain(X0))),
inference(superposition,[],[f76,f45]) ).
fof(f668,plain,
! [X0] : multiplication(antidomain(X0),antidomain(X0)) = multiplication(one,antidomain(X0)),
inference(forward_demodulation,[],[f623,f317]) ).
fof(f685,plain,
! [X0] : antidomain(X0) = multiplication(antidomain(X0),antidomain(X0)),
inference(forward_demodulation,[],[f668,f50]) ).
fof(f731,plain,
! [X0,X1] : multiplication(zero,X1) = multiplication(antidomain(X0),multiplication(X0,X1)),
inference(superposition,[],[f44,f47]) ).
fof(f788,plain,
! [X0,X1] : zero = multiplication(antidomain(X0),multiplication(X0,X1)),
inference(forward_demodulation,[],[f731,f53]) ).
fof(f984,plain,
! [X2,X0,X1] : addition(multiplication(X0,antidomain(antidomain(X1))),multiplication(addition(X0,X2),antidomain(X1))) = addition(multiplication(X0,one),multiplication(X2,antidomain(X1))),
inference(superposition,[],[f397,f45]) ).
fof(f986,plain,
! [X2,X0,X1] : addition(multiplication(X0,coantidomain(coantidomain(X1))),multiplication(addition(X0,X2),coantidomain(X1))) = addition(multiplication(X0,one),multiplication(X2,coantidomain(X1))),
inference(superposition,[],[f397,f49]) ).
fof(f1138,plain,
! [X2,X0,X1] : addition(multiplication(X0,coantidomain(coantidomain(X1))),multiplication(addition(X0,X2),coantidomain(X1))) = addition(X0,multiplication(X2,coantidomain(X1))),
inference(forward_demodulation,[],[f986,f51]) ).
fof(f1139,plain,
! [X2,X0,X1] : addition(multiplication(X0,antidomain(antidomain(X1))),multiplication(addition(X0,X2),antidomain(X1))) = addition(X0,multiplication(X2,antidomain(X1))),
inference(forward_demodulation,[],[f984,f51]) ).
fof(f1224,plain,
! [X0,X1] : addition(X0,multiplication(X0,coantidomain(X1))) = addition(multiplication(X0,coantidomain(coantidomain(X1))),multiplication(X0,coantidomain(X1))),
inference(superposition,[],[f1138,f35]) ).
fof(f1291,plain,
! [X0,X1] : addition(X0,multiplication(X0,coantidomain(X1))) = addition(multiplication(X0,coantidomain(X1)),multiplication(X0,coantidomain(coantidomain(X1)))),
inference(forward_demodulation,[],[f1224,f37]) ).
fof(f1316,plain,
! [X0,X1] : addition(X0,multiplication(X0,coantidomain(X1))) = multiplication(X0,addition(coantidomain(X1),coantidomain(coantidomain(X1)))),
inference(forward_demodulation,[],[f1291,f34]) ).
fof(f1332,plain,
! [X0,X1] : multiplication(X0,one) = addition(X0,multiplication(X0,coantidomain(X1))),
inference(forward_demodulation,[],[f1316,f74]) ).
fof(f1344,plain,
! [X0,X1] : multiplication(X0,one) = multiplication(X0,addition(one,coantidomain(X1))),
inference(forward_demodulation,[],[f1332,f267]) ).
fof(f1353,plain,
! [X0,X1] : multiplication(X0,addition(one,coantidomain(X1))) = X0,
inference(forward_demodulation,[],[f1344,f51]) ).
fof(f1399,plain,
! [X0,X1] : addition(antidomain(antidomain(X0)),multiplication(antidomain(X0),antidomain(X1))) = addition(multiplication(antidomain(antidomain(X0)),antidomain(antidomain(X1))),multiplication(one,antidomain(X1))),
inference(superposition,[],[f1139,f45]) ).
fof(f1435,plain,
! [X0,X1] : addition(antidomain(antidomain(X0)),multiplication(antidomain(X0),antidomain(X1))) = addition(multiplication(one,antidomain(X1)),multiplication(antidomain(antidomain(X0)),antidomain(antidomain(X1)))),
inference(forward_demodulation,[],[f1399,f37]) ).
fof(f1464,plain,
! [X0,X1] : addition(antidomain(antidomain(X0)),multiplication(antidomain(X0),antidomain(X1))) = addition(antidomain(X1),multiplication(antidomain(antidomain(X0)),antidomain(antidomain(X1)))),
inference(forward_demodulation,[],[f1435,f50]) ).
fof(f1712,plain,
! [X2,X0,X1] : coantidomain(multiplication(coantidomain(coantidomain(multiplication(X0,X1))),X2)) = addition(coantidomain(multiplication(X0,multiplication(X1,X2))),coantidomain(multiplication(coantidomain(coantidomain(multiplication(X0,X1))),X2))),
inference(superposition,[],[f57,f44]) ).
fof(f1733,plain,
! [X0,X1] : multiplication(multiplication(coantidomain(coantidomain(X0)),X1),coantidomain(multiplication(X0,X1))) = multiplication(multiplication(coantidomain(coantidomain(X0)),X1),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))),
inference(superposition,[],[f158,f57]) ).
fof(f1749,plain,
! [X0,X1] : zero = multiplication(multiplication(coantidomain(coantidomain(X0)),X1),coantidomain(multiplication(X0,X1))),
inference(forward_demodulation,[],[f1733,f52]) ).
fof(f1767,plain,
! [X0,X1] : zero = multiplication(coantidomain(coantidomain(X0)),multiplication(X1,coantidomain(multiplication(X0,X1)))),
inference(forward_demodulation,[],[f1749,f44]) ).
fof(f1791,plain,
multiplication(antidomain(antidomain(antidomain(sK2))),antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1)))))))) = multiplication(antidomain(antidomain(antidomain(sK2))),antidomain(antidomain(sK2))),
inference(superposition,[],[f165,f66]) ).
fof(f1792,plain,
! [X0] : multiplication(antidomain(antidomain(antidomain(X0))),antidomain(X0)) = multiplication(antidomain(antidomain(antidomain(X0))),one),
inference(superposition,[],[f165,f45]) ).
fof(f1836,plain,
! [X0] : antidomain(antidomain(antidomain(X0))) = multiplication(antidomain(antidomain(antidomain(X0))),antidomain(X0)),
inference(forward_demodulation,[],[f1792,f51]) ).
fof(f1837,plain,
zero = multiplication(antidomain(antidomain(antidomain(sK2))),antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1)))))))),
inference(forward_demodulation,[],[f1791,f47]) ).
fof(f1849,plain,
! [X0] : antidomain(X0) = antidomain(antidomain(antidomain(X0))),
inference(forward_demodulation,[],[f1836,f106]) ).
fof(f2101,plain,
! [X0] : one = addition(one,antidomain(X0)),
inference(superposition,[],[f522,f1849]) ).
fof(f2127,plain,
! [X0] : multiplication(antidomain(X0),coantidomain(antidomain(antidomain(X0)))) = multiplication(one,coantidomain(antidomain(antidomain(X0)))),
inference(superposition,[],[f91,f70]) ).
fof(f2146,plain,
! [X0] : coantidomain(antidomain(antidomain(X0))) = multiplication(antidomain(X0),coantidomain(antidomain(antidomain(X0)))),
inference(forward_demodulation,[],[f2127,f50]) ).
fof(f2174,plain,
! [X0] : multiplication(antidomain(X0),addition(one,coantidomain(antidomain(antidomain(X0))))) = addition(antidomain(X0),coantidomain(antidomain(antidomain(X0)))),
inference(superposition,[],[f267,f2146]) ).
fof(f2178,plain,
! [X0] : antidomain(X0) = addition(antidomain(X0),coantidomain(antidomain(antidomain(X0)))),
inference(forward_demodulation,[],[f2174,f1353]) ).
fof(f2660,plain,
! [X0] : multiplication(antidomain(X0),X0) = addition(zero,multiplication(coantidomain(antidomain(antidomain(X0))),X0)),
inference(superposition,[],[f76,f2178]) ).
fof(f2676,plain,
! [X0] : multiplication(antidomain(X0),X0) = multiplication(coantidomain(antidomain(antidomain(X0))),X0),
inference(forward_demodulation,[],[f2660,f317]) ).
fof(f2683,plain,
! [X0] : zero = multiplication(coantidomain(antidomain(antidomain(X0))),X0),
inference(forward_demodulation,[],[f2676,f47]) ).
fof(f3480,plain,
! [X2,X0,X1] : antidomain(multiplication(X0,multiplication(X1,antidomain(antidomain(X2))))) = addition(antidomain(multiplication(multiplication(X0,X1),X2)),antidomain(multiplication(X0,multiplication(X1,antidomain(antidomain(X2)))))),
inference(superposition,[],[f46,f44]) ).
fof(f3482,plain,
! [X0,X1] : multiplication(antidomain(multiplication(X0,X1)),multiplication(X0,antidomain(antidomain(X1)))) = multiplication(antidomain(multiplication(X0,antidomain(antidomain(X1)))),multiplication(X0,antidomain(antidomain(X1)))),
inference(superposition,[],[f83,f46]) ).
fof(f3499,plain,
! [X0,X1] : zero = multiplication(antidomain(multiplication(X0,X1)),multiplication(X0,antidomain(antidomain(X1)))),
inference(forward_demodulation,[],[f3482,f47]) ).
fof(f3500,plain,
! [X2,X0,X1] : antidomain(multiplication(X0,multiplication(X1,antidomain(antidomain(X2))))) = addition(antidomain(multiplication(X0,multiplication(X1,X2))),antidomain(multiplication(X0,multiplication(X1,antidomain(antidomain(X2)))))),
inference(forward_demodulation,[],[f3480,f44]) ).
fof(f3970,plain,
! [X0,X1] : zero = multiplication(antidomain(zero),multiplication(antidomain(X0),antidomain(antidomain(multiplication(X0,X1))))),
inference(superposition,[],[f3499,f788]) ).
fof(f3971,plain,
! [X0,X1] : zero = multiplication(one,multiplication(antidomain(X0),antidomain(antidomain(multiplication(X0,X1))))),
inference(forward_demodulation,[],[f3970,f290]) ).
fof(f3997,plain,
! [X0,X1] : zero = multiplication(antidomain(X0),antidomain(antidomain(multiplication(X0,X1)))),
inference(forward_demodulation,[],[f3971,f50]) ).
fof(f4067,plain,
! [X0,X1] : multiplication(antidomain(zero),antidomain(X0)) = multiplication(antidomain(zero),multiplication(antidomain(X0),antidomain(antidomain(antidomain(multiplication(X0,X1)))))),
inference(superposition,[],[f365,f3997]) ).
fof(f4101,plain,
! [X0,X1] : multiplication(antidomain(zero),antidomain(X0)) = multiplication(antidomain(zero),multiplication(antidomain(X0),antidomain(multiplication(X0,X1)))),
inference(forward_demodulation,[],[f4067,f1849]) ).
fof(f4140,plain,
! [X0,X1] : multiplication(one,antidomain(X0)) = multiplication(one,multiplication(antidomain(X0),antidomain(multiplication(X0,X1)))),
inference(forward_demodulation,[],[f4101,f290]) ).
fof(f4165,plain,
! [X0,X1] : multiplication(one,antidomain(X0)) = multiplication(antidomain(X0),antidomain(multiplication(X0,X1))),
inference(forward_demodulation,[],[f4140,f50]) ).
fof(f4168,plain,
! [X0,X1] : antidomain(X0) = multiplication(antidomain(X0),antidomain(multiplication(X0,X1))),
inference(forward_demodulation,[],[f4165,f50]) ).
fof(f4275,plain,
! [X0,X1] : multiplication(addition(one,antidomain(X0)),antidomain(multiplication(X0,X1))) = addition(antidomain(multiplication(X0,X1)),antidomain(X0)),
inference(superposition,[],[f75,f4168]) ).
fof(f4291,plain,
! [X0,X1] : multiplication(addition(one,antidomain(X0)),antidomain(multiplication(X0,X1))) = addition(antidomain(X0),antidomain(multiplication(X0,X1))),
inference(forward_demodulation,[],[f4275,f37]) ).
fof(f4325,plain,
! [X0,X1] : addition(antidomain(X0),antidomain(multiplication(X0,X1))) = multiplication(one,antidomain(multiplication(X0,X1))),
inference(forward_demodulation,[],[f4291,f2101]) ).
fof(f4333,plain,
! [X0,X1] : antidomain(multiplication(X0,X1)) = addition(antidomain(X0),antidomain(multiplication(X0,X1))),
inference(forward_demodulation,[],[f4325,f50]) ).
fof(f4343,plain,
! [X2,X0,X1] : antidomain(multiplication(X0,multiplication(X1,X2))) = addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,multiplication(X1,X2)))),
inference(superposition,[],[f4333,f44]) ).
fof(f4909,plain,
! [X2,X3,X0,X1] : addition(X1,multiplication(addition(X2,X0),antidomain(X3))) = addition(multiplication(X1,antidomain(antidomain(X3))),multiplication(addition(X0,addition(X1,X2)),antidomain(X3))),
inference(superposition,[],[f1139,f255]) ).
fof(f5155,plain,
! [X0] : multiplication(antidomain(zero),multiplication(coantidomain(antidomain(antidomain(antidomain(X0)))),antidomain(antidomain(X0)))) = multiplication(antidomain(zero),coantidomain(antidomain(antidomain(antidomain(X0))))),
inference(superposition,[],[f365,f2683]) ).
fof(f5169,plain,
! [X0] : multiplication(antidomain(zero),coantidomain(antidomain(X0))) = multiplication(antidomain(zero),multiplication(coantidomain(antidomain(X0)),antidomain(antidomain(X0)))),
inference(forward_demodulation,[],[f5155,f1849]) ).
fof(f5198,plain,
! [X0] : multiplication(one,coantidomain(antidomain(X0))) = multiplication(one,multiplication(coantidomain(antidomain(X0)),antidomain(antidomain(X0)))),
inference(forward_demodulation,[],[f5169,f290]) ).
fof(f5208,plain,
! [X0] : multiplication(one,coantidomain(antidomain(X0))) = multiplication(coantidomain(antidomain(X0)),antidomain(antidomain(X0))),
inference(forward_demodulation,[],[f5198,f50]) ).
fof(f5212,plain,
! [X0] : coantidomain(antidomain(X0)) = multiplication(coantidomain(antidomain(X0)),antidomain(antidomain(X0))),
inference(forward_demodulation,[],[f5208,f50]) ).
fof(f5333,plain,
! [X2,X0,X1] : addition(addition(antidomain(antidomain(antidomain(X1))),X0),multiplication(X2,antidomain(X1))) = addition(multiplication(X0,antidomain(antidomain(X1))),multiplication(addition(addition(antidomain(antidomain(antidomain(X1))),X0),X2),antidomain(X1))),
inference(superposition,[],[f1139,f100]) ).
fof(f5340,plain,
! [X2,X0,X1] : addition(addition(antidomain(antidomain(antidomain(X1))),X0),multiplication(X2,antidomain(X1))) = addition(multiplication(X0,antidomain(antidomain(X1))),multiplication(addition(antidomain(antidomain(antidomain(X1))),addition(X0,X2)),antidomain(X1))),
inference(forward_demodulation,[],[f5333,f36]) ).
fof(f5386,plain,
! [X2,X0,X1] : addition(addition(antidomain(antidomain(antidomain(X1))),X0),multiplication(X2,antidomain(X1))) = addition(X0,multiplication(addition(X2,antidomain(antidomain(antidomain(X1)))),antidomain(X1))),
inference(forward_demodulation,[],[f5340,f4909]) ).
fof(f5406,plain,
! [X2,X0,X1] : addition(addition(antidomain(antidomain(antidomain(X1))),X0),multiplication(X2,antidomain(X1))) = addition(X0,multiplication(addition(one,X2),antidomain(X1))),
inference(forward_demodulation,[],[f5386,f131]) ).
fof(f5415,plain,
! [X2,X0,X1] : addition(X0,multiplication(addition(one,X2),antidomain(X1))) = addition(antidomain(antidomain(antidomain(X1))),addition(X0,multiplication(X2,antidomain(X1)))),
inference(forward_demodulation,[],[f5406,f36]) ).
fof(f5418,plain,
! [X2,X0,X1] : addition(X0,multiplication(addition(one,X2),antidomain(X1))) = addition(antidomain(X1),addition(X0,multiplication(X2,antidomain(X1)))),
inference(forward_demodulation,[],[f5415,f1849]) ).
fof(f5425,plain,
! [X0] : coantidomain(antidomain(antidomain(X0))) = multiplication(coantidomain(antidomain(antidomain(X0))),antidomain(X0)),
inference(superposition,[],[f5212,f1849]) ).
fof(f5858,plain,
! [X0,X1] : multiplication(antidomain(zero),X0) = multiplication(antidomain(zero),multiplication(antidomain(antidomain(addition(X0,X1))),X0)),
inference(superposition,[],[f203,f517]) ).
fof(f5919,plain,
! [X0,X1] : multiplication(one,X0) = multiplication(one,multiplication(antidomain(antidomain(addition(X0,X1))),X0)),
inference(forward_demodulation,[],[f5858,f290]) ).
fof(f5940,plain,
! [X0,X1] : multiplication(one,X0) = multiplication(antidomain(antidomain(addition(X0,X1))),X0),
inference(forward_demodulation,[],[f5919,f50]) ).
fof(f5948,plain,
! [X0,X1] : multiplication(antidomain(antidomain(addition(X0,X1))),X0) = X0,
inference(forward_demodulation,[],[f5940,f50]) ).
fof(f6165,plain,
! [X0,X1] : antidomain(X0) = addition(antidomain(antidomain(antidomain(addition(X0,X1)))),antidomain(X0)),
inference(superposition,[],[f4333,f5948]) ).
fof(f6179,plain,
! [X0,X1] : antidomain(X0) = addition(antidomain(X0),antidomain(antidomain(antidomain(addition(X0,X1))))),
inference(forward_demodulation,[],[f6165,f37]) ).
fof(f6208,plain,
! [X0,X1] : antidomain(X0) = addition(antidomain(X0),antidomain(addition(X0,X1))),
inference(forward_demodulation,[],[f6179,f1849]) ).
fof(f6408,plain,
! [X0,X1] : antidomain(multiplication(X1,antidomain(antidomain(X0)))) = addition(antidomain(multiplication(X1,multiplication(antidomain(antidomain(X0)),X0))),antidomain(multiplication(X1,antidomain(antidomain(X0))))),
inference(superposition,[],[f3500,f685]) ).
fof(f6500,plain,
! [X0,X1] : antidomain(multiplication(X1,antidomain(antidomain(X0)))) = addition(antidomain(multiplication(X1,antidomain(antidomain(X0)))),antidomain(multiplication(X1,multiplication(antidomain(antidomain(X0)),X0)))),
inference(forward_demodulation,[],[f6408,f37]) ).
fof(f6587,plain,
! [X0,X1] : antidomain(multiplication(X1,antidomain(antidomain(X0)))) = antidomain(multiplication(X1,multiplication(antidomain(antidomain(X0)),X0))),
inference(forward_demodulation,[],[f6500,f4343]) ).
fof(f6631,plain,
! [X0,X1] : antidomain(multiplication(X1,X0)) = antidomain(multiplication(X1,antidomain(antidomain(X0)))),
inference(forward_demodulation,[],[f6587,f106]) ).
fof(f6713,plain,
addition(antidomain(antidomain(antidomain(sK2))),multiplication(antidomain(antidomain(sK2)),antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1)))))))) = addition(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1)))))),zero),
inference(superposition,[],[f1464,f1837]) ).
fof(f6753,plain,
! [X0,X1] : addition(antidomain(antidomain(X0)),multiplication(antidomain(X0),antidomain(X1))) = addition(antidomain(X1),addition(antidomain(antidomain(X0)),multiplication(antidomain(X0),antidomain(X1)))),
inference(superposition,[],[f240,f1464]) ).
fof(f6768,plain,
! [X0,X1] : addition(antidomain(antidomain(X0)),multiplication(antidomain(X0),antidomain(X1))) = addition(antidomain(antidomain(X0)),multiplication(addition(one,antidomain(X0)),antidomain(X1))),
inference(forward_demodulation,[],[f6753,f5418]) ).
fof(f6799,plain,
antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1)))))) = addition(antidomain(antidomain(antidomain(sK2))),multiplication(antidomain(antidomain(sK2)),antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1)))))))),
inference(forward_demodulation,[],[f6713,f55]) ).
fof(f6812,plain,
! [X0,X1] : addition(antidomain(antidomain(X0)),multiplication(antidomain(X0),antidomain(X1))) = addition(antidomain(antidomain(X0)),multiplication(one,antidomain(X1))),
inference(forward_demodulation,[],[f6768,f2101]) ).
fof(f6829,plain,
antidomain(multiplication(sK0,antidomain(antidomain(sK1)))) = addition(antidomain(antidomain(antidomain(sK2))),multiplication(antidomain(antidomain(sK2)),antidomain(multiplication(sK0,antidomain(antidomain(sK1)))))),
inference(forward_demodulation,[],[f6799,f6631]) ).
fof(f6841,plain,
! [X0,X1] : addition(antidomain(antidomain(X0)),multiplication(antidomain(X0),antidomain(X1))) = addition(antidomain(antidomain(X0)),antidomain(X1)),
inference(forward_demodulation,[],[f6812,f50]) ).
fof(f6852,plain,
antidomain(multiplication(sK0,sK1)) = addition(antidomain(antidomain(antidomain(sK2))),multiplication(antidomain(antidomain(sK2)),antidomain(multiplication(sK0,sK1)))),
inference(forward_demodulation,[],[f6829,f6631]) ).
fof(f6865,plain,
antidomain(multiplication(sK0,sK1)) = addition(antidomain(antidomain(antidomain(sK2))),antidomain(multiplication(sK0,sK1))),
inference(forward_demodulation,[],[f6852,f6841]) ).
fof(f6873,plain,
antidomain(multiplication(sK0,sK1)) = addition(antidomain(sK2),antidomain(multiplication(sK0,sK1))),
inference(forward_demodulation,[],[f6865,f1849]) ).
fof(f6876,plain,
multiplication(antidomain(sK2),multiplication(sK0,sK1)) = multiplication(antidomain(multiplication(sK0,sK1)),multiplication(sK0,sK1)),
inference(superposition,[],[f83,f6873]) ).
fof(f6901,plain,
zero = multiplication(antidomain(sK2),multiplication(sK0,sK1)),
inference(forward_demodulation,[],[f6876,f47]) ).
fof(f8359,plain,
! [X0,X1] : antidomain(X1) = addition(antidomain(X1),antidomain(addition(X0,X1))),
inference(superposition,[],[f6208,f37]) ).
fof(f9179,plain,
! [X0] : multiplication(one,coantidomain(coantidomain(coantidomain(X0)))) = addition(zero,multiplication(coantidomain(X0),coantidomain(coantidomain(coantidomain(X0))))),
inference(superposition,[],[f89,f49]) ).
fof(f9318,plain,
! [X0] : multiplication(one,coantidomain(coantidomain(coantidomain(X0)))) = multiplication(coantidomain(X0),coantidomain(coantidomain(coantidomain(X0)))),
inference(forward_demodulation,[],[f9179,f317]) ).
fof(f9417,plain,
! [X0] : coantidomain(X0) = multiplication(one,coantidomain(coantidomain(coantidomain(X0)))),
inference(forward_demodulation,[],[f9318,f231]) ).
fof(f9482,plain,
! [X0] : coantidomain(X0) = coantidomain(coantidomain(coantidomain(X0))),
inference(forward_demodulation,[],[f9417,f50]) ).
fof(f9553,plain,
! [X0] : one = addition(one,coantidomain(X0)),
inference(superposition,[],[f521,f9482]) ).
fof(f24467,plain,
! [X0] : zero = multiplication(coantidomain(coantidomain(antidomain(X0))),multiplication(X0,coantidomain(zero))),
inference(superposition,[],[f1767,f47]) ).
fof(f24791,plain,
! [X0] : zero = multiplication(coantidomain(coantidomain(antidomain(X0))),multiplication(X0,one)),
inference(forward_demodulation,[],[f24467,f94]) ).
fof(f24860,plain,
! [X0] : zero = multiplication(coantidomain(coantidomain(antidomain(X0))),X0),
inference(forward_demodulation,[],[f24791,f51]) ).
fof(f24920,plain,
! [X0] : multiplication(antidomain(zero),X0) = multiplication(antidomain(zero),multiplication(coantidomain(coantidomain(coantidomain(antidomain(X0)))),X0)),
inference(superposition,[],[f202,f24860]) ).
fof(f25013,plain,
! [X0] : multiplication(antidomain(zero),X0) = multiplication(antidomain(zero),multiplication(coantidomain(antidomain(X0)),X0)),
inference(forward_demodulation,[],[f24920,f9482]) ).
fof(f25053,plain,
! [X0] : multiplication(one,X0) = multiplication(one,multiplication(coantidomain(antidomain(X0)),X0)),
inference(forward_demodulation,[],[f25013,f290]) ).
fof(f25077,plain,
! [X0] : multiplication(one,X0) = multiplication(coantidomain(antidomain(X0)),X0),
inference(forward_demodulation,[],[f25053,f50]) ).
fof(f25082,plain,
! [X0] : multiplication(coantidomain(antidomain(X0)),X0) = X0,
inference(forward_demodulation,[],[f25077,f50]) ).
fof(f25256,plain,
! [X0] : antidomain(X0) = coantidomain(antidomain(antidomain(X0))),
inference(superposition,[],[f5425,f25082]) ).
fof(f25640,plain,
antidomain(antidomain(antidomain(coantidomain(coantidomain(multiplication(coantidomain(antidomain(antidomain(antidomain(antidomain(sK2))))),sK0)))))) != addition(antidomain(antidomain(sK1)),antidomain(antidomain(antidomain(coantidomain(coantidomain(multiplication(coantidomain(antidomain(antidomain(antidomain(antidomain(sK2))))),sK0))))))),
inference(superposition,[],[f64,f25256]) ).
fof(f25706,plain,
antidomain(coantidomain(coantidomain(multiplication(coantidomain(antidomain(antidomain(antidomain(antidomain(sK2))))),sK0)))) != addition(antidomain(antidomain(sK1)),antidomain(coantidomain(coantidomain(multiplication(coantidomain(antidomain(antidomain(antidomain(antidomain(sK2))))),sK0))))),
inference(forward_demodulation,[],[f25640,f1849]) ).
fof(f25717,plain,
antidomain(coantidomain(coantidomain(multiplication(antidomain(antidomain(antidomain(sK2))),sK0)))) != addition(antidomain(antidomain(sK1)),antidomain(coantidomain(coantidomain(multiplication(antidomain(antidomain(antidomain(sK2))),sK0))))),
inference(forward_demodulation,[],[f25706,f25256]) ).
fof(f25722,plain,
antidomain(coantidomain(coantidomain(multiplication(antidomain(sK2),sK0)))) != addition(antidomain(antidomain(sK1)),antidomain(coantidomain(coantidomain(multiplication(antidomain(sK2),sK0))))),
inference(forward_demodulation,[],[f25717,f1849]) ).
fof(f36733,plain,
coantidomain(multiplication(coantidomain(coantidomain(multiplication(antidomain(sK2),sK0))),sK1)) = addition(coantidomain(zero),coantidomain(multiplication(coantidomain(coantidomain(multiplication(antidomain(sK2),sK0))),sK1))),
inference(superposition,[],[f1712,f6901]) ).
fof(f37182,plain,
coantidomain(multiplication(coantidomain(coantidomain(multiplication(antidomain(sK2),sK0))),sK1)) = addition(one,coantidomain(multiplication(coantidomain(coantidomain(multiplication(antidomain(sK2),sK0))),sK1))),
inference(forward_demodulation,[],[f36733,f94]) ).
fof(f37500,plain,
one = coantidomain(multiplication(coantidomain(coantidomain(multiplication(antidomain(sK2),sK0))),sK1)),
inference(forward_demodulation,[],[f37182,f9553]) ).
fof(f38165,plain,
zero = multiplication(multiplication(coantidomain(coantidomain(multiplication(antidomain(sK2),sK0))),sK1),one),
inference(superposition,[],[f52,f37500]) ).
fof(f38247,plain,
zero = multiplication(coantidomain(coantidomain(multiplication(antidomain(sK2),sK0))),sK1),
inference(forward_demodulation,[],[f38165,f51]) ).
fof(f38338,plain,
zero = multiplication(antidomain(zero),multiplication(coantidomain(coantidomain(multiplication(antidomain(sK2),sK0))),antidomain(antidomain(sK1)))),
inference(superposition,[],[f3499,f38247]) ).
fof(f38360,plain,
zero = multiplication(one,multiplication(coantidomain(coantidomain(multiplication(antidomain(sK2),sK0))),antidomain(antidomain(sK1)))),
inference(forward_demodulation,[],[f38338,f290]) ).
fof(f38396,plain,
zero = multiplication(coantidomain(coantidomain(multiplication(antidomain(sK2),sK0))),antidomain(antidomain(sK1))),
inference(forward_demodulation,[],[f38360,f50]) ).
fof(f38713,plain,
multiplication(antidomain(zero),multiplication(coantidomain(coantidomain(multiplication(antidomain(sK2),sK0))),antidomain(antidomain(antidomain(sK1))))) = multiplication(antidomain(zero),coantidomain(coantidomain(multiplication(antidomain(sK2),sK0)))),
inference(superposition,[],[f365,f38396]) ).
fof(f38778,plain,
multiplication(one,multiplication(coantidomain(coantidomain(multiplication(antidomain(sK2),sK0))),antidomain(antidomain(antidomain(sK1))))) = multiplication(one,coantidomain(coantidomain(multiplication(antidomain(sK2),sK0)))),
inference(forward_demodulation,[],[f38713,f290]) ).
fof(f38811,plain,
coantidomain(coantidomain(multiplication(antidomain(sK2),sK0))) = multiplication(one,multiplication(coantidomain(coantidomain(multiplication(antidomain(sK2),sK0))),antidomain(antidomain(antidomain(sK1))))),
inference(forward_demodulation,[],[f38778,f50]) ).
fof(f38834,plain,
coantidomain(coantidomain(multiplication(antidomain(sK2),sK0))) = multiplication(coantidomain(coantidomain(multiplication(antidomain(sK2),sK0))),antidomain(antidomain(antidomain(sK1)))),
inference(forward_demodulation,[],[f38811,f50]) ).
fof(f38842,plain,
coantidomain(coantidomain(multiplication(antidomain(sK2),sK0))) = multiplication(coantidomain(coantidomain(multiplication(antidomain(sK2),sK0))),antidomain(sK1)),
inference(forward_demodulation,[],[f38834,f1849]) ).
fof(f39028,plain,
addition(antidomain(sK1),coantidomain(coantidomain(multiplication(antidomain(sK2),sK0)))) = multiplication(addition(one,coantidomain(coantidomain(multiplication(antidomain(sK2),sK0)))),antidomain(sK1)),
inference(superposition,[],[f75,f38842]) ).
fof(f39063,plain,
addition(antidomain(sK1),coantidomain(coantidomain(multiplication(antidomain(sK2),sK0)))) = multiplication(one,antidomain(sK1)),
inference(forward_demodulation,[],[f39028,f521]) ).
fof(f39078,plain,
antidomain(sK1) = addition(antidomain(sK1),coantidomain(coantidomain(multiplication(antidomain(sK2),sK0)))),
inference(forward_demodulation,[],[f39063,f50]) ).
fof(f39648,plain,
antidomain(coantidomain(coantidomain(multiplication(antidomain(sK2),sK0)))) = addition(antidomain(coantidomain(coantidomain(multiplication(antidomain(sK2),sK0)))),antidomain(antidomain(sK1))),
inference(superposition,[],[f8359,f39078]) ).
fof(f39653,plain,
antidomain(coantidomain(coantidomain(multiplication(antidomain(sK2),sK0)))) = addition(antidomain(antidomain(sK1)),antidomain(coantidomain(coantidomain(multiplication(antidomain(sK2),sK0))))),
inference(forward_demodulation,[],[f39648,f37]) ).
fof(f39670,plain,
$false,
inference(forward_subsumption_resolution,[],[f39653,f25722]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KLE105+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.41 % Computer : n001.cluster.edu
% 0.15/0.41 % Model : x86_64 x86_64
% 0.15/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.41 % Memory : 8046.5625MB
% 0.15/0.41 % OS : Linux 6.8.0-71-generic
% 0.15/0.41 % CPULimit : 300
% 0.15/0.41 % WCLimit : 300
% 0.15/0.41 % DateTime : Sun Sep 27 13:16:15 UTC 2026
% 0.15/0.41 % CPUTime :
% 0.15/0.42 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.47 Running first-order theorem proving
% 0.15/0.47 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 23.69/4.40 % (3561707)Detected formulas, will run a generic FOF schedule.
% 23.69/4.40 % (3561716)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=111139325:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 23.69/4.40 % (3561713)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=787624150:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 23.69/4.40 % (3561715)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2631039717:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 23.69/4.40 % (3561714)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=2569071353:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 23.69/4.40 % (3561712)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2813004858:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 23.69/4.40 % (3561716)Instruction limit reached!
% 23.69/4.40 % (3561716)------------------------------
% 23.69/4.40 % (3561716)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.69/4.40 % (3561716)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.69/4.40 % (3561716)CaDiCaL version: 2.1.3
% 23.69/4.40 % (3561716)Termination reason: Instruction limit
% 23.69/4.40 % (3561716)Termination phase: Saturation
% 23.69/4.40 % (3561716)Time elapsed: 0.055 s
% 23.69/4.40 % (3561716)Peak memory usage: 89 MB
% 23.69/4.40 % (3561716)Instructions burned: 121 (million)
% 23.69/4.40 % (3561718)dis-21_1_sil=8000:lcm=predicate:random_seed=2641939724:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 23.69/4.40 % (3561717)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3034626469:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 23.69/4.40 % (3561718)Refutation not found, incomplete strategy
% 23.69/4.40 % (3561718)------------------------------
% 23.69/4.40 % (3561718)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.69/4.40 % (3561718)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.69/4.40 % (3561718)CaDiCaL version: 2.1.3
% 23.69/4.40 % (3561718)Termination reason: Refutation not found, incomplete strategy
% 23.69/4.40 % (3561718)Time elapsed: 0.002 s
% 23.69/4.40 % (3561718)Peak memory usage: 88 MB
% 23.69/4.40 % (3561718)Instructions burned: 1 (million)
% 23.69/4.40 % (3561715)Instruction limit reached!
% 23.69/4.40 % (3561715)------------------------------
% 23.69/4.40 % (3561715)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.69/4.40 % (3561715)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.69/4.40 % (3561715)CaDiCaL version: 2.1.3
% 23.69/4.40 % (3561715)Termination reason: Instruction limit
% 23.69/4.40 % (3561715)Termination phase: Saturation
% 23.69/4.40 % (3561715)Time elapsed: 0.099 s
% 23.69/4.40 % (3561715)Peak memory usage: 89 MB
% 23.69/4.40 % (3561715)Instructions burned: 109 (million)
% 23.69/4.40 % (3561717)Instruction limit reached!
% 23.69/4.40 % (3561717)------------------------------
% 23.69/4.40 % (3561717)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.69/4.40 % (3561717)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.69/4.40 % (3561717)CaDiCaL version: 2.1.3
% 23.69/4.40 % (3561717)Termination reason: Instruction limit
% 23.69/4.40 % (3561717)Termination phase: Saturation
% 23.69/4.40 % (3561717)Time elapsed: 0.130 s
% 23.69/4.40 % (3561717)Peak memory usage: 89 MB
% 23.69/4.40 % (3561717)Instructions burned: 139 (million)
% 23.69/4.40 % (3561724)lrs+10_1_sil=8000:sp=occurrence:random_seed=1939917621:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 23.69/4.40 % (3561727)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1614669434:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 23.69/4.40 % (3561718)------------------------------
% 23.69/4.40 % (3561718)------------------------------
% 23.69/4.40 % (3561724)Instruction limit reached!
% 23.69/4.40 % (3561724)------------------------------
% 23.69/4.40 % (3561724)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.69/4.40 % (3561724)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.69/4.40 % (3561724)CaDiCaL version: 2.1.3
% 34.14/6.01 % (3561724)Termination reason: Instruction limit
% 34.14/6.01 % (3561724)Termination phase: Saturation
% 34.14/6.01 % (3561724)Time elapsed: 0.150 s
% 34.14/6.01 % (3561724)Peak memory usage: 91 MB
% 34.14/6.01 % (3561724)Instructions burned: 287 (million)
% 34.14/6.01 % (3561728)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2056257165:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 34.14/6.01 % (3561727)Instruction limit reached!
% 34.14/6.01 % (3561727)------------------------------
% 34.14/6.01 % (3561727)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.14/6.01 % (3561727)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.14/6.01 % (3561727)CaDiCaL version: 2.1.3
% 34.14/6.01 % (3561727)Termination reason: Instruction limit
% 34.14/6.01 % (3561727)Termination phase: Saturation
% 34.14/6.01 % (3561727)Time elapsed: 0.133 s
% 34.14/6.01 % (3561727)Peak memory usage: 89 MB
% 34.14/6.01 % (3561727)Instructions burned: 157 (million)
% 34.14/6.01 % (3561731)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=2220625595:s2a=on:i=248:s2at=1.23:gtg=position_2993 on theBenchmark for (2993ds/248Mi)
% 34.14/6.01 % (3561732)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1781924481:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 34.14/6.01 % (3561731)Instruction limit reached!
% 34.14/6.01 % (3561731)------------------------------
% 34.14/6.01 % (3561731)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.14/6.01 % (3561731)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.14/6.01 % (3561731)CaDiCaL version: 2.1.3
% 34.14/6.01 % (3561731)Termination reason: Instruction limit
% 34.14/6.01 % (3561731)Termination phase: Saturation
% 34.14/6.01 % (3561731)Time elapsed: 0.126 s
% 34.14/6.01 % (3561731)Peak memory usage: 90 MB
% 34.14/6.01 % (3561731)Instructions burned: 249 (million)
% 34.14/6.01 % (3561734)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2728517739:i=2350_2991 on theBenchmark for (2991ds/2350Mi)
% 34.14/6.01 % (3561728)Instruction limit reached!
% 34.14/6.01 % (3561728)------------------------------
% 34.14/6.01 % (3561728)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.14/6.01 % (3561728)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.14/6.01 % (3561728)CaDiCaL version: 2.1.3
% 34.14/6.01 % (3561728)Termination reason: Instruction limit
% 34.14/6.01 % (3561728)Termination phase: Saturation
% 34.14/6.01 % (3561728)Time elapsed: 0.310 s
% 34.14/6.01 % (3561728)Peak memory usage: 92 MB
% 34.14/6.01 % (3561728)Instructions burned: 325 (million)
% 34.14/6.01 % (3561732)Instruction limit reached!
% 34.14/6.01 % (3561732)------------------------------
% 34.14/6.01 % (3561732)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.14/6.01 % (3561732)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.14/6.01 % (3561732)CaDiCaL version: 2.1.3
% 34.14/6.01 % (3561732)Termination reason: Instruction limit
% 34.14/6.01 % (3561732)Termination phase: Saturation
% 34.14/6.01 % (3561732)Time elapsed: 0.255 s
% 34.14/6.01 % (3561732)Peak memory usage: 90 MB
% 34.14/6.01 % (3561732)Instructions burned: 295 (million)
% 34.14/6.01 % (3561738)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2083424129:cts=off:i=113:fsr=off:ss=included:sgt=4_2989 on theBenchmark for (2989ds/113Mi)
% 34.14/6.01 % (3561739)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=4156517776:i=127:av=off:fsr=off:sup=off_2989 on theBenchmark for (2989ds/127Mi)
% 34.14/6.01 % (3561739)Refutation not found, incomplete strategy
% 34.14/6.01 % (3561739)------------------------------
% 34.14/6.01 % (3561739)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.14/6.01 % (3561739)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.14/6.01 % (3561739)CaDiCaL version: 2.1.3
% 34.14/6.01 % (3561739)Termination reason: Refutation not found, incomplete strategy
% 34.14/6.01 % (3561739)Time elapsed: 0.002 s
% 34.14/6.01 % (3561739)Peak memory usage: 88 MB
% 34.14/6.01 % (3561739)Instructions burned: 1 (million)
% 34.14/6.01 % (3561738)Instruction limit reached!
% 34.14/6.01 % (3561738)------------------------------
% 34.14/6.01 % (3561738)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.14/6.01 % (3561738)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.14/6.01 % (3561738)CaDiCaL version: 2.1.3
% 41.22/7.00 % (3561738)Termination reason: Instruction limit
% 41.22/7.00 % (3561738)Termination phase: Saturation
% 41.22/7.00 % (3561738)Time elapsed: 0.110 s
% 41.22/7.00 % (3561738)Peak memory usage: 89 MB
% 41.22/7.00 % (3561738)Instructions burned: 114 (million)
% 41.22/7.00 % (3561740)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1857383090:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2987 on theBenchmark for (2987ds/114Mi)
% 41.22/7.00 % (3561743)lrs+10_1_sil=8000:sp=occurrence:random_seed=3088075912:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2985 on theBenchmark for (2985ds/907Mi)
% 41.22/7.00 % (3561740)Instruction limit reached!
% 41.22/7.00 % (3561740)------------------------------
% 41.22/7.00 % (3561740)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.22/7.00 % (3561740)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.22/7.00 % (3561740)CaDiCaL version: 2.1.3
% 41.22/7.00 % (3561740)Termination reason: Instruction limit
% 41.22/7.00 % (3561740)Termination phase: Saturation
% 41.22/7.00 % (3561740)Time elapsed: 0.099 s
% 41.22/7.00 % (3561740)Peak memory usage: 88 MB
% 41.22/7.00 % (3561740)Instructions burned: 114 (million)
% 41.22/7.00 % (3561739)------------------------------
% 41.22/7.00 % (3561739)------------------------------
% 41.22/7.00 % (3561746)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=379741558:i=437:sd=1:aac=none:ss=included_2983 on theBenchmark for (2983ds/437Mi)
% 41.22/7.00 % (3561747)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=419005845:i=5202:ss=axioms:sgt=16_2982 on theBenchmark for (2982ds/5202Mi)
% 41.22/7.00 % (3561746)Instruction limit reached!
% 41.22/7.00 % (3561746)------------------------------
% 41.22/7.00 % (3561746)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.22/7.00 % (3561746)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.22/7.00 % (3561746)CaDiCaL version: 2.1.3
% 41.22/7.00 % (3561746)Termination reason: Instruction limit
% 41.22/7.00 % (3561746)Termination phase: Saturation
% 41.22/7.00 % (3561746)Time elapsed: 0.362 s
% 41.22/7.00 % (3561746)Peak memory usage: 90 MB
% 41.22/7.00 % (3561746)Instructions burned: 437 (million)
% 41.22/7.00 % (3561743)Instruction limit reached!
% 41.22/7.00 % (3561743)------------------------------
% 41.22/7.00 % (3561743)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.22/7.00 % (3561743)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.22/7.00 % (3561743)CaDiCaL version: 2.1.3
% 41.22/7.00 % (3561743)Termination reason: Instruction limit
% 41.22/7.00 % (3561743)Termination phase: Saturation
% 41.22/7.00 % (3561743)Time elapsed: 0.882 s
% 41.22/7.00 % (3561743)Peak memory usage: 97 MB
% 41.22/7.00 % (3561743)Instructions burned: 907 (million)
% 41.22/7.00 % (3561750)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2707513078:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2976 on theBenchmark for (2976ds/134Mi)
% 41.22/7.00 % (3561750)Refutation not found, incomplete strategy
% 41.22/7.00 % (3561750)------------------------------
% 41.22/7.00 % (3561750)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.22/7.00 % (3561750)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.22/7.00 % (3561750)CaDiCaL version: 2.1.3
% 41.22/7.00 % (3561750)Termination reason: Refutation not found, incomplete strategy
% 41.22/7.00 % (3561750)Time elapsed: 0.003 s
% 41.22/7.00 % (3561750)Peak memory usage: 88 MB
% 41.22/7.00 % (3561750)Instructions burned: 1 (million)
% 41.22/7.00 % (3561751)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2505798159:st=8:i=592:sd=3:ep=RST:ss=axioms_2974 on theBenchmark for (2974ds/592Mi)
% 41.22/7.00 % (3561750)------------------------------
% 41.22/7.00 % (3561750)------------------------------
% 41.22/7.00 % (3561754)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1843595897:st=3:i=13193:sd=3:ss=axioms_2970 on theBenchmark for (2970ds/13193Mi)
% 41.22/7.00 % (3561751)Instruction limit reached!
% 41.22/7.00 % (3561751)------------------------------
% 41.22/7.00 % (3561751)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.22/7.00 % (3561751)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.22/7.00 % (3561751)CaDiCaL version: 2.1.3
% 41.22/7.00 % (3561751)Termination reason: Instruction limit
% 41.22/7.00 % (3561751)Termination phase: Saturation
% 41.22/7.00 % (3561751)Time elapsed: 0.584 s
% 41.22/7.00 % (3561751)Peak memory usage: 95 MB
% 41.22/7.00 % (3561751)Instructions burned: 592 (million)
% 41.22/7.00 % (3561734)Instruction limit reached!
% 41.22/7.00 % (3561734)------------------------------
% 41.22/7.00 % (3561734)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.22/7.00 % (3561734)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.22/7.00 % (3561734)CaDiCaL version: 2.1.3
% 41.22/7.00 % (3561734)Termination reason: Instruction limit
% 41.22/7.00 % (3561734)Termination phase: Saturation
% 41.22/7.00 % (3561734)Time elapsed: 2.363 s
% 41.22/7.00 % (3561734)Peak memory usage: 143 MB
% 41.22/7.00 % (3561734)Instructions burned: 2350 (million)
% 41.22/7.00 % (3561756)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=1618073071:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2966 on theBenchmark for (2966ds/125Mi)
% 41.22/7.00 % (3561756)Instruction limit reached!
% 41.22/7.00 % (3561756)------------------------------
% 41.22/7.00 % (3561756)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.22/7.00 % (3561756)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.22/7.00 % (3561756)CaDiCaL version: 2.1.3
% 41.22/7.00 % (3561756)Termination reason: Instruction limit
% 41.22/7.00 % (3561756)Termination phase: Saturation
% 41.22/7.00 % (3561756)Time elapsed: 0.129 s
% 41.22/7.00 % (3561756)Peak memory usage: 90 MB
% 41.22/7.00 % (3561756)Instructions burned: 125 (million)
% 41.22/7.00 % (3561757)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=771629126:i=134:gtgl=5:slsql=off:gtg=exists_sym_2965 on theBenchmark for (2965ds/134Mi)
% 41.22/7.00 % (3561757)Instruction limit reached!
% 41.22/7.00 % (3561757)------------------------------
% 41.22/7.00 % (3561757)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.22/7.00 % (3561757)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.22/7.00 % (3561757)CaDiCaL version: 2.1.3
% 41.22/7.00 % (3561757)Termination reason: Instruction limit
% 41.22/7.00 % (3561757)Termination phase: Saturation
% 41.22/7.00 % (3561757)Time elapsed: 0.126 s
% 41.22/7.00 % (3561757)Peak memory usage: 89 MB
% 41.22/7.00 % (3561757)Instructions burned: 134 (million)
% 41.22/7.00 % (3561759)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=1284928754:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2963 on theBenchmark for (2963ds/141Mi)
% 41.22/7.00 % (3561759)Refutation not found, incomplete strategy
% 41.22/7.00 % (3561759)------------------------------
% 41.22/7.00 % (3561759)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.22/7.00 % (3561759)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.22/7.00 % (3561759)CaDiCaL version: 2.1.3
% 41.22/7.00 % (3561759)Termination reason: Refutation not found, incomplete strategy
% 41.22/7.00 % (3561759)Time elapsed: 0.002 s
% 41.22/7.00 % (3561759)Peak memory usage: 88 MB
% 41.22/7.00 % (3561761)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=1864310802:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2961 on theBenchmark for (2961ds/431Mi)
% 41.22/7.00 % (3561761)Refutation not found, incomplete strategy
% 41.22/7.00 % (3561761)------------------------------
% 41.22/7.00 % (3561761)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.22/7.00 % (3561761)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.22/7.00 % (3561761)CaDiCaL version: 2.1.3
% 41.22/7.00 % (3561761)Termination reason: Refutation not found, incomplete strategy
% 41.22/7.00 % (3561761)Time elapsed: 0.003 s
% 41.22/7.00 % (3561761)Peak memory usage: 88 MB
% 41.22/7.00 % (3561761)Instructions burned: 1 (million)
% 41.22/7.00 % (3561759)------------------------------
% 41.22/7.00 % (3561759)------------------------------
% 41.22/7.00 % (3561761)------------------------------
% 41.22/7.00 % (3561761)------------------------------
% 41.22/7.00 % (3561764)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=1065815569:i=6060:aac=none:ins=25_2956 on theBenchmark for (2956ds/6060Mi)
% 41.22/7.00 % (3561765)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=3478741747:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2954 on theBenchmark for (2954ds/150Mi)
% 41.22/7.00 % (3561765)Instruction limit reached!
% 41.22/7.00 % (3561765)------------------------------
% 41.22/7.00 % (3561765)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.22/7.00 % (3561765)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.22/7.00 % (3561765)CaDiCaL version: 2.1.3
% 41.22/7.00 % (3561765)Termination reason: Instruction limit
% 41.22/7.00 % (3561765)Termination phase: Saturation
% 41.22/7.00 % (3561765)Time elapsed: 0.140 s
% 41.22/7.00 % (3561765)Peak memory usage: 90 MB
% 41.22/7.00 % (3561765)Instructions burned: 151 (million)
% 41.22/7.00 % (3561768)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=755575430:i=14155:bd=all_2950 on theBenchmark for (2950ds/14155Mi)
% 41.22/7.00 % (3561713)First to succeed.
% 41.22/7.00 % (3561713)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3561707"
% 41.22/7.00 % (3561713)Refutation found. Thanks to Tanya!
% 41.22/7.00 % SZS status Theorem for theBenchmark
% 41.22/7.00 % SZS output start Proof for theBenchmark
% See solution above
% 42.96/7.28 % (3561713)------------------------------
% 42.96/7.28 % (3561713)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 42.96/7.28 % (3561713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.96/7.28 % (3561713)CaDiCaL version: 2.1.3
% 42.96/7.28 % (3561713)Termination reason: Refutation
% 42.96/7.28 % (3561713)Time elapsed: 5.263 s
% 42.96/7.28 % (3561713)Peak memory usage: 168 MB
% 42.96/7.28 % (3561713)Instructions burned: 5090 (million)
% 42.96/7.28 % (3561713)------------------------------
% 42.96/7.28 % (3561713)------------------------------
% 42.96/7.28 % (3561707)Success in time 5.971 s
% 42.96/7.28 % Vampire exiting
%------------------------------------------------------------------------------